What is the Least Common Multiple of 62237 and 62249?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 62237 and 62249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62237 and 62249, than apply into the LCM equation.

GCF(62237,62249) = 1
LCM(62237,62249) = ( 62237 × 62249) / 1
LCM(62237,62249) = 3874191013 / 1
LCM(62237,62249) = 3874191013

Least Common Multiple (LCM) of 62237 and 62249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62237 and 62249. First we will calculate the prime factors of 62237 and 62249.

Prime Factorization of 62237

Prime Factorization of 62249

Now multiplying the highest exponent prime factors to calculate the LCM of 62237 and 62249.

LCM(62237,62249) = 7¹ × 17¹ × 523¹ × 11¹ × 5659¹
LCM(62237,62249) = 3874191013